Question:
The ratio of \( \frac{1}{3} \) to \( \frac{3}{8} \) is equal to the ratio of
The ratio of \( \frac{1}{3} \) to \( \frac{3}{8} \) is equal to the ratio of
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To find equivalent ratios, multiply both terms of the ratio by the least common multiple (LCM) of the denominators of the fractions.
Updated On: Oct 7, 2025
- 1 to 8
- 8 to 1
- 8 to 3
- 8 to 9
- 9 to 8
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The Correct Option is D
Solution and Explanation
Step 1: Understand the ratio.
We are asked to compare the ratio of \( \frac{1}{3} \) to \( \frac{3}{8} \). To find an equivalent ratio, we can multiply both fractions by 24 (the least common multiple of 3 and 8).
Step 2: Multiply both parts of the ratio.
Multiplying \( \frac{1}{3} \) by 24 gives \( 24 \times \frac{1}{3} = 8 \). Multiplying \( \frac{3}{8} \) by 24 gives \( 24 \times \frac{3}{8} = 9 \).
Step 3: Conclusion.
Thus, the ratio of \( \frac{1}{3} \) to \( \frac{3}{8} \) is equal to the ratio of 8 to 9.
Final Answer: \[ \boxed{\text{The correct answer is (D) 8 to 9.}} \]
We are asked to compare the ratio of \( \frac{1}{3} \) to \( \frac{3}{8} \). To find an equivalent ratio, we can multiply both fractions by 24 (the least common multiple of 3 and 8).
Step 2: Multiply both parts of the ratio.
Multiplying \( \frac{1}{3} \) by 24 gives \( 24 \times \frac{1}{3} = 8 \). Multiplying \( \frac{3}{8} \) by 24 gives \( 24 \times \frac{3}{8} = 9 \).
Step 3: Conclusion.
Thus, the ratio of \( \frac{1}{3} \) to \( \frac{3}{8} \) is equal to the ratio of 8 to 9.
Final Answer: \[ \boxed{\text{The correct answer is (D) 8 to 9.}} \]
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